What is the Greatest Common Factor of 24255 and 24260?

Greatest common factor (GCF) of 24255 and 24260 is 5.

GCF(24255,24260) = 5

We will now calculate the prime factors of 24255 and 24260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24255 and 24260.

How to find the GCF of 24255 and 24260?

We will first find the prime factorization of 24255 and 24260. After we will calculate the factors of 24255 and 24260 and find the biggest common factor number .

Step-1: Prime Factorization of 24255

Prime factors of 24255 are 3, 5, 7, 11. Prime factorization of 24255 in exponential form is:

24255 = 3² × 5¹ × 7² × 11¹

Step-2: Prime Factorization of 24260

Prime factors of 24260 are 2, 5, 1213. Prime factorization of 24260 in exponential form is:

24260 = 2² × 5¹ × 1213¹

Step-3: Factors of 24255

List of positive integer factors of 24255 that divides 24255 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 49, 55, 63, 77, 99, 105, 147, 165, 231, 245, 315, 385, 441, 495, 539, 693, 735, 1155, 1617, 2205, 2695, 3465, 4851, 8085

Step-4: Factors of 24260

List of positive integer factors of 24260 that divides 24255 without a remainder.

1, 2, 4, 5, 10, 20, 1213, 2426, 4852, 6065, 12130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24255 and 24260. The biggest common factor number is the GCF number.
So the greatest common factor 24255 and 24260 is 5.

Also check out the Least Common Multiple of 24255 and 24260